As far as I recall, Drax never inhabited Soul World. He was killed by Moondragon and simply died.
In the 90s, Drax would be resurrected by Kronos shortly after Thanos came back to life. Drax and Silver Surfer would travel to Soul World once for a short period of time where they met Adam Warlock and Gamora... and that's it. Drax has never spent an extended period of time in the soul gem.
As for the Nega Bands, there are multiple sets. Both Genis and Phylla had their own sets at the same time. There may have been another set floating around during that time... Was Mar-Vell burried with his?